The nonperturbative functional renormalization group and its applications

N Dupuis, L Canet, A Eichhorn, W Metzner… - Physics Reports, 2021 - Elsevier
The renormalization group plays an essential role in many areas of physics, both
conceptually and as a practical tool to determine the long-distance low-energy properties of …

Diagrammatic routes to nonlocal correlations beyond dynamical mean field theory

G Rohringer, H Hafermann, A Toschi, AA Katanin… - Reviews of Modern …, 2018 - APS
Strong electronic correlations pose one of the biggest challenges to solid state theory.
Recently developed methods that address this problem by starting with the local, eminently …

Tracking the footprints of spin fluctuations: A multimethod, multimessenger study of the two-dimensional Hubbard model

T Schäfer, N Wentzell, F Šimkovic IV, YY He, C Hille… - Physical Review X, 2021 - APS
The Hubbard model represents the fundamental model for interacting quantum systems and
electronic correlations. Using the two-dimensional half-filled Hubbard model at weak …

Pseudo-fermion functional renormalization group for spin models

T Müller, D Kiese, N Niggemann… - Reports on Progress …, 2024 - iopscience.iop.org
For decades, frustrated quantum magnets have been a seed for scientific progress and
innovation in condensed matter. As much as the numerical tools for low-dimensional …

High-frequency asymptotics of the vertex function: Diagrammatic parametrization and algorithmic implementation

N Wentzell, G Li, A Tagliavini, C Taranto, G Rohringer… - Physical Review B, 2020 - APS
Vertex functions are a crucial ingredient of several forefront many-body algorithms in
condensed matter physics. However, the full treatment of their frequency and momentum …

Quantitative functional renormalization group description of the two-dimensional Hubbard model

C Hille, FB Kugler, CJ Eckhardt, YY He, A Kauch… - Physical Review …, 2020 - APS
Using a leading algorithmic implementation of the functional renormalization group (fRG) for
interacting fermions on two-dimensional lattices, we provide a detailed analysis of its …

Real-frequency quantum field theory applied to the single-impurity Anderson model

A Ge, N Ritz, E Walter, S Aguirre, J von Delft, FB Kugler - Physical Review B, 2024 - APS
A major challenge in the field of correlated electrons is the computation of dynamical
correlation functions. For comparisons with experiment, one is interested in their real …

Fingerprints of the local moment formation and its Kondo screening in the generalized susceptibilities of many-electron problems

P Chalupa, T Schäfer, M Reitner, D Springer… - Physical Review Letters, 2021 - APS
We identify the precise hallmarks of the local magnetic moment formation and its Kondo
screening in the frequency structure of the generalized charge susceptibility. The sharpness …

Boson-exchange parquet solver for dual fermions

F Krien, A Valli, P Chalupa, M Capone, AI Lichtenstein… - Physical Review B, 2020 - APS
We present and implement a parquet approximation within the dual-fermion formalism
based on a partial bosonization of the dual vertex function which substantially reduces the …

Multiloop functional renormalization group approach to quantum spin systems

D Kiese, T Müller, Y Iqbal, R Thomale, S Trebst - Physical Review Research, 2022 - APS
Renormalization group methods are well-established tools for the (numerical) investigation
of the low-energy properties of correlated quantum many-body systems, allowing us to …